## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Corrected |

### From inside the book

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Page 11

... figure contained by a diameter and the part of the circumference cut off by that diameter . XIX . " A segment of a circle is the figure contained by a straight line , and the circumference it cuts off . " XX .

... figure contained by a diameter and the part of the circumference cut off by that diameter . XIX . " A segment of a circle is the figure contained by a straight line , and the circumference it cuts off . " XX .

**Rectilineal figures**are ... Page 35

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**rectilineal figure**, together with four right angles , are equal to twice as many right E angles as the figure has sides . For any**rectilineal figure**ABCDE can be divided into ás many triangles as the figure has sides , by drawing ... Page 36

... figure , toge- ther with four right angles , are equal to twice as many right angles as the figure has sides . COR . 2. All the exterior angles of any

... figure , toge- ther with four right angles , are equal to twice as many right angles as the figure has sides . COR . 2. All the exterior angles of any

**rectilineal figure**, are to- gether equal to four right angles . Because every ... Page 43

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**figure**ABCD , which are therefore called the complements : the complement BK is equal to the complement KD ...**rectilineal**angle . Let AB be the given straight line , and C the given**triangle**, and D the given**rectilineal**angle . It is ... Page 44

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**rectilineal figure**, and having an angle equal to a given rectilineal angle . * Let ABCD be the given**rectilineal figure**, and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having an ...### Other editions - View all

The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid No preview available - 2018 |

### Common terms and phrases

altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore